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Nonquadratic local stabilization of nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions

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Abstract
In this paper, the local stabilization problem of continuous-time nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions is investigated using a mode-dependent nonquadratic Lyapunov function. Different from other existing studies, this paper proposes a method that can improve the feasibility of local stabilization conditions (i) by not assuming the maximum allowable bound of the time derivative of the fuzzy basis functions, and (ii) by utilizing hidden information of the partial derivative of the fuzzy weighting functions with respect to the state variables. Furthermore, since the problem of estimating the attraction region is addressed with consideration of energy-bounded disturbances, the proposed method can be directly applied to the H-infinity control problem without any other assumptions on the magnitude of disturbances. (C) 2021 The Authors. Published by Elsevier Ltd.
Author(s)
김성현웬 딴 빈
Issued Date
2021
Type
Article
Keyword
Electrical engineeringFuzzy algorithmsFuzzy logicFuzzy systemsLocal stabilizationMarkov processesNonhomogeneous Markov processNonquadratic stabilizationRelaxation process
DOI
10.1016/j.nahs.2021.101080
URI
https://oak.ulsan.ac.kr/handle/2021.oak/9090
https://ulsan-primo.hosted.exlibrisgroup.com/primo-explore/fulldisplay?docid=TN_cdi_gale_infotracacademiconefile_A675783084&context=PC&vid=ULSAN&lang=ko_KR&search_scope=default_scope&adaptor=primo_central_multiple_fe&tab=default_tab&query=any,contains,Nonquadratic%20local%20stabilization%20of%20nonhomogeneous%20Markovian%20jump%20fuzzy%20systems%20with%20incomplete%20transition%20descriptions&offset=0&pcAvailability=true
Publisher
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Location
영국
Language
영어
ISSN
1751-570X
Citation Volume
42
Citation Number
1
Citation Start Page
101080
Citation End Page
101080
Appears in Collections:
Engineering > IT Convergence
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